Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 18 - Electric Currents - Problems - Page 521: 14

Answer

0.44

Work Step by Step

Use equation 18–3 to find the resistance. The cross-sectional area $A=\pi r^2=\frac{\pi d^2}{4}$. $$R=\rho\frac{\mathcal{l}}{A}=\rho\frac{4 \mathcal{l}}{\pi d^2}$$ $$\frac{R_{Al}}{R_{Cu}}=\frac{\rho_{Al}\mathcal{l}_{Al}d_{Cu}^2}{\rho_{Cu}\mathcal{l}_{Cu}d_{Al}^2}$$ $$=\frac{(2.65\times10^{-8}\Omega \cdot m)(10.0m)(0.0018m)^2}{(1.68\times10^{-8}\Omega \cdot m)(24.0m)(0.0022m)^2}=0.44$$
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